ln(2x-1)=-xln(6)

Simple and best practice solution for ln(2x-1)=-xln(6) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for ln(2x-1)=-xln(6) equation: 


Simplifying
ln(2x + -1) = -1xln(6)

Reorder the terms:
ln(-1 + 2x) = -1xln(6)
(-1 * ln + 2x * ln) = -1xln(6)
(-1ln + 2lnx) = -1xln(6)

Reorder the terms for easier multiplication:
-1ln + 2lnx = -1 * 6lnx

Multiply -1 * 6
-1ln + 2lnx = -6lnx

Solving
-1ln + 2lnx = -6lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '6lnx' to each side of the equation.
-1ln + 2lnx + 6lnx = -6lnx + 6lnx

Combine like terms: 2lnx + 6lnx = 8lnx
-1ln + 8lnx = -6lnx + 6lnx

Combine like terms: -6lnx + 6lnx = 0
-1ln + 8lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 8x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-1 + 8x)' equal to zero and attempt to solve:

Simplifying
-1 + 8x = 0

Solving
-1 + 8x = 0

Move all terms containing l to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + 1 + 8x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8x = 0 + 1
8x = 0 + 1

Combine like terms: 0 + 1 = 1
8x = 1

Add '-8x' to each side of the equation.
8x + -8x = 1 + -8x

Combine like terms: 8x + -8x = 0
0 = 1 + -8x

Simplifying
0 = 1 + -8x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 2x+4=7X+4 | | -(-5w-x)-3(-5x+3w)= | | -(-5-x)-3(-5+3w)= | | 500.00+0.35x=2.50x | | (x-4)(x+6)(x)=675 | | (x^3y^2-3x^2y^3-2xy+4)+(x^2y^3+8x^3y^2+5xy+2)= | | 4m^2=32m^4 | | 3p^2=-13p-4 | | -3(-y+5)-y= | | (6x-5)(2x-9)=0 | | 4y-1+y-6= | | -2(-4v+x)-6(-x-3v)= | | 4(6+-4)=2(t-5) | | 4x^2-28x-240= | | -3w+3-w-4= | | 0=7208-220x | | 2x-.75=0 | | 25x^4-49y^8= | | 0=320+80x | | 24x=12+5+5 | | 2(x-5)=-2(x-9) | | y^2+9y=0 | | 2640=320+80x | | 3y=55 | | 6x+y=-48 | | 7x+2=3x+8 | | 5x-4=-10+3x | | 4(6+-4)=2 | | x^2-40x+80=0 | | 10+x=-2x-8 | | 12+5+5=24x | | 15n^2-19n-10= |

Equations solver categories